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Finding the Third Proportional to 77,232 and 180,437

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Solution

The third proportional to 77,232 and 180,437 is: 421,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,232 : 180,437 = 180,437 : x
  2. Step 2: Convert to fraction form
    77,232/180,437 = 180,437/x
  3. Step 3: Cross multiply
    77,232x = 180,437 × 180,437
  4. Step 4: Simplify right side
    77,232x = 32,557,510,969
  5. Step 5: Solve for x
    x = 32,557,510,969/77,232
  6. Step 6: Final answer
    x = 421,554.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.